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  2. 400　数理解析研究所
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  4. B86 Algebraic Number Theory and Related Topics 2018
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dc.contributor.authorKim, Chan-Hoen
dc.contributor.authorGhitza, Alexandruen
dc.date.accessioned2021-09-08T09:05:37Z-
dc.date.available2021-09-08T09:05:37Z-
dc.date.issued2021-07-
dc.identifier.urihttp://hdl.handle.net/2433/265150-
dc.descriptionAlgebraic Number Theory and Related Topics 2018. November 26-30, 2018. edited by Takao Yamazaki and Shuji Yamamoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.en
dc.description.abstractIn this survey article, we discuss our recent work [KKS20], [KN20] on the numerical verification of the Iwasawa main conjecture for modular forms of weight two at good primes and elliptic curves with potentially good reduction. The criterion is based on the Euler system method and the equality of the main conjecture can be checked via the non-vanishing of Kurihara numbers. We also discuss further arithmetic applications of Kurihara numbers to study the structure of Selmer groups following the philosophy of refined Iwasawa theory `a la Kurihara. In the appendix by Alexandru Ghitza, the SageMath code for an effective computation of Kurihara numbers is illustrated.en
dc.language.isoeng-
dc.publisherResearch Institute for Mathematical Sciences, Kyoto Universityen
dc.publisher.alternative京都大学数理解析研究所ja
dc.rights© 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved.en
dc.subject11F67en
dc.subject11G05en
dc.subject11R23en
dc.subjectelliptic curuesen
dc.subjectEuler systemsen
dc.subjectIwasawa main conjecturesen
dc.subjectKato's Euler systemsen
dc.subjectKurihara numbersen
dc.subjectmodular formsen
dc.subjectmodular symbolsen
dc.subject.ndc410-
dc.titleIndivisibility of Kato's Euler systems and Kurihara numbers (Algebraic Number Theory and Related Topics 2018)en
dc.typedepartmental bulletin paper-
dc.type.niitypeDepartmental Bulletin Paper-
dc.identifier.ncidAA12196120-
dc.identifier.jtitle数理解析研究所講究録別冊ja
dc.identifier.volumeB86-
dc.identifier.spage63-
dc.identifier.epage86-
dc.textversionpublisher-
dc.sortkey05-
dc.addressKorea Institute for Advanced Study (KIAS) en:1-
dc.addressSchool of Mathematics and Statistics, University of Melbourneen
dcterms.accessRightsopen access-
dc.identifier.pissn1881-6193-
dc.identifier.jtitle-alternativeRIMS Kokyuroku Bessatsuen
出現コレクション:B86 Algebraic Number Theory and Related Topics 2018

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